Least Common Multiple of 5626 and 5630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5626 and 5630 the smallest integer that is 15837190 that is divisible by both numbers.

Least Common Multiple (LCM) of 5626 and 5630 is 15837190.

LCM(5626,5630) = 15837190

LCM of 5626 and 5630

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5626 and 5630

LCM of 5626 and 5630 is 15837190

Least common multiple can be found by multiplying the highest exponent prime factors of 5626 and 5630. First we will calculate the prime factors of 5626 and 5630.

Prime Factorization of 5626


2 5626
29 2813
97 97
1

Prime factors of 5626 are 2, 29,97. Prime factorization of 5626 in exponential form is:

5626 = 21×291×971

Prime Factorization of 5630


2 5630
5 2815
563 563
1

Prime factors of 5630 are 2, 5,563. Prime factorization of 5630 in exponential form is:

5630 = 21×51×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 5626 and 5630.

LCM(5626,5630) = 21×51×291×971×5631
LCM(5626,5630) = 15837190

Factors of 5626

List of positive integer factors of 5626 that divides 5626 without a remainder.

1, 2, 29, 58, 97, 194, 2813, 5626

Factors of 5630

List of positive integer factors of 5630 that divides 5630 without a remainder.

1, 2, 5, 10, 563, 1126, 2815, 5630

Least Common Multiple of 5626 and 5630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5626 and 5630, than apply into the LCM equation.

GCF(5626,5630) = 2
LCM(5626,5630) = ( 5626 × 5630) / 2
LCM(5626,5630) = 31674380 / 2
LCM(5626,5630) = 15837190

Properties of LCM 5626 and 5630

(i) The LCM of 5630 and 5626 is associative

LCM of 5626 and 5630 = LCM of 5630 and 5626

Related Least Common Multiples of 5626

Related Least Common Multiples of 5630

Frequently Asked Questions on LCM of 5626 and 5630

1. What is the LCM of 5626 and 5630?

Answer: LCM of 5626 and 5630 is 15837190.

2. What are the Factors of 5626?

Answer: Factors of 5626 are 1, 2, 29, 58, 97, 194, 2813, 5626. There are 8 integers that are factors of 5626. The greatest factor of 5626 is 5626.

3. What are the Factors of 5630?

Answer: Factors of 5630 are 1, 2, 5, 10, 563, 1126, 2815, 5630. There are 8 integers that are factors of 5630. The greatest factor of 5630 is 5630.

4. How to Find the LCM of 5626 and 5630?

Answer:

Least Common Multiple of 5626 and 5630 = 15837190

Step 1: Find the prime factorization of 5626

5626 = 2 x 29 x 97

Step 2: Find the prime factorization of 5630

5630 = 2 x 5 x 563

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15837190 = 2 x 5 x 29 x 97 x 563

Step 4: Therefore, the least common multiple of 5626 and 5630 is 15837190.